Question

the number of boys and girls in a class are in the ratio of 7:5 the number of boys is 8 more than the number of girls what is the total class strength

Answer 1

a/q
7x = 5x + 8
2x = 8
X = 4
total strength of a class = 12x = 12 x 4 = 48

Answer 2

Answer:

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GIVEN :-

Ratio of number of boys to number of girls is 7:5

Number of boys is 8 more than Number of girls

TO FIND :-

Total strength of the class

SOLUTION :-

Let

Number of boys be 7x

Number of girls be 5x

We are given,

Number of boys is 8 more than Number of girls

$\implies \sf \: 7x = 5x + 8 \\ \\ \implies \sf \: 7x - 5x = 8 \\ \\ \implies \sf \: 2x = 8 \\ \\ \implies \sf \: x = \frac{8}{2} \\ \\ \implies {\underline {\bold {\boxed {\pink {\sf{x = 4}}}}}}$

Then ,

$[tex] \sf \: Number \: of \: boys \: = 7x = 7(4) = 28 \\ \\ \sf Number \: of \: girls = 5x = 5(4) = 20$[/tex]

Total class strength = Number of girls + Number of boys

$\implies \sf \: Total \: class \: strength = 20 + 28 \\ \\ \implies {\underline {\bold {\boxed {\blue {\sf{Total \: class\: strength \: = 48}}}}}}$

∴ Total Strength of the class is 48

$\huge\orange{\mid{\fbox{\tt{Thanks}}\mid}}$